Search a number
-
+
18029240272624 = 247223967746497
BaseRepresentation
bin1000001100101110000100…
…11101100100011011110000
32100211120121202100102000211
410012113002131210123300
54330342341002210444
6102202304005353504
73540366244521010
oct406270235443360
970746552312024
1018029240272624
115821181126919
122032230108894
13a0a1c48c2539
14464896d71c40
15213eade62c34
hex1065c27646f0

18029240272624 has 80 divisors (see below), whose sum is σ = 40142434275328. Its totient is φ = 7684202889216.

The previous prime is 18029240272607. The next prime is 18029240272663. The reversal of 18029240272624 is 42627204292081.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23778544 + ... + 24525040.

Almost surely, 218029240272624 is an apocalyptic number.

18029240272624 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18029240272624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20071217137664).

18029240272624 is an abundant number, since it is smaller than the sum of its proper divisors (22113194002704).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

18029240272624 is a wasteful number, since it uses less digits than its factorization.

18029240272624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 747702 (or 747696 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 49.

The spelling of 18029240272624 in words is "eighteen trillion, twenty-nine billion, two hundred forty million, two hundred seventy-two thousand, six hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 56 112 223 446 892 967 1561 1784 1934 3122 3568 3868 6244 6769 7736 12488 13538 15472 24976 27076 54152 108304 215641 431282 746497 862564 1492994 1509487 1725128 2985988 3018974 3450256 5225479 5971976 6037948 10450958 11943952 12075896 20901916 24151792 41803832 83607664 166468831 332937662 665875324 721862599 1165281817 1331750648 1443725198 2330563634 2663501296 2887450396 4661127268 5053038193 5774900792 9322254536 10106076386 11549801584 18644509072 20212152772 40424305544 80848611088 160975359577 321950719154 643901438308 1126827517039 1287802876616 2253655034078 2575605753232 4507310068156 9014620136312 18029240272624